Question

7. The curved surface area of a cone is 1159 on. Area of its base is 254 cm? Find its
volume​

Answer 1

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9th

Maths

Surface Areas and Volumes

Volume of Cone

The curved surface area of ...

MATHS

The curved surface area of a cone is 1159

7

5

cm

2

. Area of its base is 254

7

4

cm

2

. Find its volume.

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ANSWER

Let radius of base of cone =r and height =h, slant height =l

Area of base =πr

2

=254

7

4

=

7

1782

⇒r

2

=

7

1782

×

22

7

=81

Curved surface area =πrl=1159(

7

5

)=

7

8118

⇒l=

7

8118

×

22

7

×

9

1

=41cm

In cone, h

2

=l

2

−r

2

=1681−81=1600

⇒h=40cm

Volume =

3

1

πr

2

h=

3

1

×

7

22

×81×40=3394.28cm

3

.